Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds - MaRDI portal

Deprecated: Use of MediaWiki\Skin\SkinTemplate::injectLegacyMenusIntoPersonalTools was deprecated in Please make sure Skin option menus contains `user-menu` (and possibly `notifications`, `user-interface-preferences`, `user-page`) 1.46. [Called from MediaWiki\Skin\SkinTemplate::getPortletsTemplateData in /var/www/html/w/includes/Skin/SkinTemplate.php at line 691] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of MediaWiki\Skin\BaseTemplate::getPersonalTools was deprecated in 1.46 Call $this->getSkin()->getPersonalToolsForMakeListItem instead (T422975). [Called from Skins\Chameleon\Components\NavbarHorizontal\PersonalTools::getHtml in /var/www/html/w/skins/chameleon/src/Components/NavbarHorizontal/PersonalTools.php at line 66] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

Deprecated: Use of QuickTemplate::(get/html/text/haveData) with parameter `personal_urls` was deprecated in MediaWiki Use content_navigation instead. [Called from MediaWiki\Skin\QuickTemplate::get in /var/www/html/w/includes/Skin/QuickTemplate.php at line 131] in /var/www/html/w/includes/Debug/MWDebug.php on line 372

An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds

From MaRDI portal
Publication:6504935

arXiv2001.04006MaRDI QIDQ6504935

Author name not available (Why is that?)


Abstract: Consider a smooth 4-manifold X and a diffeomorphism f:XoX. We give an obstruction in the form of an adjunction inequality for an embedded surface in X to be isotopic to its image under f. It follows that the minimal genus of a surface representing a given homology class and which is isotopic to its image under f is generally larger than the minimal genus without the isotopy condition. We give examples where the inequality is strict. We use our obstruction to construct examples of infinitely many embedded surfaces which are all continuously isotopic but mutually non-isotopic smoothly.





Mathematics Subject Classification ID

No records found.








This page was built for publication: An adjunction inequality obstruction to isotopy of embedded surfaces in 4-manifolds

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6504935)

Retrieved from "https://mardi.schubotz.org/w/index.php?title=Publication:6504935&oldid=37972038"
Powered by MediaWiki